Analog integer order notch filters (IONF) are practically realised by using two or more capacitors. If the dissipation factor of capacitors (used in the IONF) increases then the overall order of the circuit reduces. Reduction in the order causes attenuation-loss at the notch frequency. Once the order reduces, the loss can only be compensated by reducing the quality factor of the IONF circuit, which is not desirable. This problem can be overcome by using a fractional order notch filter (FONF). The FONF circuit uses fractional order capacitors ( $Z=\frac {1}{Cs^\beta }$ ), which provides an extra degree of design freedom to control the order of the circuit, thereby helping in compensating the attenuation-loss. In this work, a new fractional order notch filter (FONF) has been proposed in which the attenuation-loss, due to change in the order of the system, can be compensated by tuning resistor/s of the proposed circuit.

中文翻译：

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一个分数阶陷波滤波器，用于补偿由于电路阶数变化引起的衰减损耗

模拟整数阶陷波滤波器 (IONF) 实际上是通过使用两个或更多电容器来实现的。如果电容器（在 IONF 中使用）的损耗因数增加，则电路的整体顺序会降低。阶数的减少导致陷波频率处的衰减损耗。一旦阶次降低，只能通过降低IONF电路的品质因数来补偿损耗，这是不可取的。这个问题可以通过使用分数阶陷波滤波器 (FONF) 来克服。FONF 电路使用分数阶电容器 ( $Z=\frac {1}{Cs^\beta }$ )，它提供了额外的设计自由度来控制电路的阶数，从而有助于补偿衰减损耗。在这项工作中，提出了一种新的分数阶陷波滤波器 (FONF)，其中衰减损耗，